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Finding the Fourth Proportional to 6,771.93, 10,158.85 and 2,092.32

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Solution

The fourth proportional to 6,771.93, 10,158.85 and 2,092.32 is: 3,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.93 : 10,158.85 = 2,092.32 : x
  2. Step 2: Convert to fraction form
    6,771.93/10,158.85 = 2,092.32/x
  3. Step 3: Cross multiply
    6,771.93x = 10,158.85 × 2,092.32
  4. Step 4: Simplify right side
    6,771.93x = 21,255,565.03
  5. Step 5: Solve for x
    x = 21,255,565.03/6,771.93
  6. Step 6: Final answer
    x = 3,138.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.